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Finding the Fourth Proportional to 70,711.84, 106,067.72 and 20,792.35

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Solution

The fourth proportional to 70,711.84, 106,067.72 and 20,792.35 is: 31,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711.84 : 106,067.72 = 20,792.35 : x
  2. Step 2: Convert to fraction form
    70,711.84/106,067.72 = 20,792.35/x
  3. Step 3: Cross multiply
    70,711.84x = 106,067.72 × 20,792.35
  4. Step 4: Simplify right side
    70,711.84x = 2,205,397,157.94
  5. Step 5: Solve for x
    x = 2,205,397,157.94/70,711.84
  6. Step 6: Final answer
    x = 31,188.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.